1836741564 has 144 divisors (see below), whose sum is σ = 5535129600. Its totient is φ = 502443648.

The previous prime is 1836741503. The next prime is 1836741583. The reversal of 1836741564 is 4651476381.

1836741564 is a `hidden beast` number, since 1 + 83 + 6 + 7 + 4 + 1 + 564 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927127 + ... + 929105.

It is an arithmetic number, because the mean of its divisors is an integer number (38438400).

Almost surely, 2^1836741564 is an apocalyptic number.

1836741564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1836741564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767564800).

1836741564 is an abundant number, since it is smaller than the sum of its proper divisors (3698388036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1836741564 is a wasteful number, since it uses less digits than its factorization.

1836741564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2147 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1836741564 is about 42857.2230084965. The cubic root of 1836741564 is about 1224.6613672345.

The spelling of 1836741564 in words is "one billion, eight hundred thirty-six million, seven hundred forty-one thousand, five hundred sixty-four".